509241120 has 144 divisors (see below), whose sum is σ = 1704483648. Its totient is φ = 127774720.

The previous prime is 509241079. The next prime is 509241121. The reversal of 509241120 is 21142905.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509241121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136885 + ... + 140555.

It is an arithmetic number, because the mean of its divisors is an integer number (11836692).

Almost surely, 2^509241120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852241824).

509241120 is an abundant number, since it is smaller than the sum of its proper divisors (1195242528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509241120 is a wasteful number, since it uses less digits than its factorization.

509241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 509241120 is about 22566.3714407080. The cubic root of 509241120 is about 798.5604946674.

The spelling of 509241120 in words is "five hundred nine million, two hundred forty-one thousand, one hundred twenty".